82377348441817 has 12 divisors (see below), whose sum is σ = 97512156898660. Its totient is φ = 69127844844960.

The previous prime is 82377348441803. The next prime is 82377348441833. The reversal of 82377348441817 is 71814484377328.

It can be written as a sum of positive squares in 2 ways, for example, as 52468929679936 + 29908418761881 = 7243544^2 + 5468859^2 .

It is a de Polignac number, because none of the positive numbers 2^k-82377348441817 is a prime.

It is a super-2 number, since 2×82377348441817² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82377348441847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26184788142 + ... + 26184791287.

Almost surely, 2^{82377348441817} is an apocalyptic number.

It is an amenable number.

82377348441817 is a deficient number, since it is larger than the sum of its proper divisors (15134808456843).

82377348441817 is a wasteful number, since it uses less digits than its factorization.

82377348441817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52369579464 (or 52369579453 counting only the distinct ones).

The product of its digits is 202309632, while the sum is 67.

The spelling of 82377348441817 in words is "eighty-two trillion, three hundred seventy-seven billion, three hundred forty-eight million, four hundred forty-one thousand, eight hundred seventeen".